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105064250 = 2531759419
BaseRepresentation
bin1100100001100…
…10011100111010
321022200211001112
412100302130322
5203344024000
614231520322
72414013524
oct620623472
9238624045
10105064250
1154340365
122b2290a2
13189c78c5
14dd4ca14
159355235
hex643273a

105064250 has 64 divisors (see below), whose sum is σ = 212284800. Its totient is φ = 38790400.

The previous prime is 105064231. The next prime is 105064273. The reversal of 105064250 is 52460501.

105064250 = T382 + T383 + ... + T881.

It is a super-2 number, since 2×1050642502 = 22076993256125000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250541 + ... + 250959.

It is an arithmetic number, because the mean of its divisors is an integer number (3316950).

Almost surely, 2105064250 is an apocalyptic number.

105064250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105064250 is an abundant number, since it is smaller than the sum of its proper divisors (107220550).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105064250 is a wasteful number, since it uses less digits than its factorization.

105064250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 105064250 is about 10250.0853654982. The cubic root of 105064250 is about 471.8656043917.

The spelling of 105064250 in words is "one hundred five million, sixty-four thousand, two hundred fifty".

Divisors: 1 2 5 10 17 25 34 50 59 85 118 125 170 250 295 419 425 590 838 850 1003 1475 2006 2095 2125 2950 4190 4250 5015 7123 7375 10030 10475 14246 14750 20950 24721 25075 35615 49442 50150 52375 71230 104750 123605 125375 178075 247210 250750 356150 420257 618025 840514 890375 1236050 1780750 2101285 3090125 4202570 6180250 10506425 21012850 52532125 105064250